Dividing the Path Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 2858   Accepted: 1064 Description Farmer John's cows have discovered that the clover growing along the ridge of the hill in his field is particularly good. To keep the clo…

POJ 2373 Dividing the Path 描述 农夫约翰的牛发现,在他的田里沿着山脊生长的三叶草是特别好的.为了给三叶草浇水,农夫约翰在山脊上安装了喷水器. 为了使安装更容易,每个喷头必须安装在山脊上(我们可以认为这是一条长度为L(1<=L<=1,000,000)的一维数列:L是偶数). 每个洒水器沿山脊向两个方向地面排水一段距离.每个喷雾半径是A.B范围内的整数(1<=A<=B<=1000).农夫约翰需要给整个山脊浇水,用一个喷头覆盖整个山脊上的每一个位置.此外…

Dividing the Path Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 5060   Accepted: 1782 Description Farmer John's cows have discovered that the clover growing along the ridge of the hill in his field is particularly good. To keep the clo…

题目 [USACO14MAR]Counting Friends G 题解 这道题我们可以将 \((n+1)\) 个边依次去掉,然后分别判断去掉后是否能满足.注意到一点, \(n\) 个奶牛的朋友之和必定为偶数,所以去掉的那个数值的奇偶性必定与 \((n+1)\) 个数值之和的奇偶性相同. 接下来很明显的,尽量将朋友多的和朋友多的匹配,所以先从大到小排序,将第一个奶牛和后面的奶牛依次匹配,如果匹配结束,第一个奶牛还有剩余,则此情况必然不可能成立:否则匹配完之后再按照 \(O(n)\) 复杂度的归并…

题目 [USACO14MAR]Sabotage G 题解 本蒟蒻又来了,这道题可以用二分答案来解决.我们可以设答案最小平均产奶量为 \(x \ (x \in[1,10000])\) .然后二分搜索 \(x\) 的最小值. \[\frac{sum-sum[l,r]}{n-(r-l+1)}\leq x \] \[nx-(r-l+1)x\geq sum-sum[l,r] \] \[sum-nx \leq \sum\limits_{i=l}^r{(a[i]-x)} \] 对于如何求 \(\sum\lim…

思路: 设dp[i]为覆盖i所用的最小数量,那么dp[i] = min(dp[k] + 1),其中i - 2b <= k <= i -2a,所以可以手动开一个单调递增的队列,队首元素就是k. 初始状态为dp[0] = 0,注意喷水覆盖的范围是偶数且不重叠,所以插入队列的必是偶数.有牛的地方不能作为边界,所以这些地方都要排除,可以用vis标记或者其他方法. 代码: #include<map> #include<ctime> #include<cmath> #i…

题目 For their physical fitness program, \(N (2 ≤ N ≤ 1,000,000)\) cows have decided to run a relay race using the \(T (2 ≤ T ≤ 100)\) cow trails throughout the pasture. Each trail connects two different intersections \((1 ≤ I1_i ≤ 1,000; 1 ≤ I2_i ≤ 1,…

题目 Farmer John has arranged his N \((1 ≤ N ≤ 5,000)\) cows in a row and many of them are facing forward, like good cows. Some of them are facing backward, though, and he needs them all to face forward to make his life perfect. Fortunately, FJ recentl…

Problem Description Wang Haiyang is a strong and optimistic Chinese youngster. Although born and brought up in the northern inland city Harbin, he has deep love and yearns for the boundless oceans. After graduation, he came to a coastal city and got…

题意:你有无数个长度可变的区间d  满足 2a<=d<=2b且为偶数. 现在要你用这些区间填满一条长为L(L<1e6且保证是偶数)的长线段. 满足以下要求: 1.可变区间之间不能有交集,且不能超过长线段的左右边界 2.长线段上有若干短线段,给出他们的起始点与终点.你要保证对于任意一条短线段,你的某个区间可以完全包含它. 求最少需要多少个可变区间. 题解:用dp[x]表示填到x距离所需要最少的可变区间数. 分析发现x必定满足: 1.偶数 2.x不能在某条短线段上//若不然,则x在某条短线…